12sin2(t)+5cos(t)−9=012sin2(t)+5cos(t)-9=0 for all solutions 0≤t<2π0≤t<2π

Q: solve the initial-value problem x′ = Ax, x(0)=x0.

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A: We have to find the solution interval of  2y + 1 ≥ 3 or 3y &lt; -3

Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

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A: This question is related to Differential Equations

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Q: 6. Solve using Jacobi Method 5х — 2y +3z %3D-1 2х — у — 7z %3D 3 -3x + 9y + z = 2

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Q: Obtain the family of solutions 1) xydx – (x² +3y² ) dy = 0 2

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Q: What is the solution to the initial – value problem : 4x²y" + 4xy' – y = 0 with y(4) = 2 and y'(4) =…

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Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: Solve by partial fraction х 2 — 8 J2(x-1) dx 3 х ?(х —

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Q: The form of the particular solution yp for the DE (D^2 + D - 2)y = 2x - 40cos2x should be yp = Q +…

A: Let's find.

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A: For part a). Given that                      y' = 2(2x-y) =4x-2y                      y' + 2y = 4x…

Q: 3. Find the complete solution of: y" - y' + y = 1 with y(0)=a & y'(0)=ß

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Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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Q: 6. Use undetermined coefficients to find a general solution of -2x y" + 5y' + 6y = 3e¬2= +e3z

A: The given differential equation is y''+5y'+6y=3e-2x+e3x

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Q: 2. x (х — 2)у" + 2(х — 1)у' — 2у %3D 0 |

A: Power series solution of the differential equation

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